Existence of steady multiple vortex patches to the vortex-wave system
Analysis of PDEs
2018-05-08 v1
Abstract
In this paper we prove the existence of steady multiple vortex patch solutions to the vortex-wave system in a planar bounded domain. The construction is performed by solving a certain variational problem for the vorticity and studying its asymptotic behavior as the vorticity strength goes to infinity.
Keywords
Cite
@article{arxiv.1805.02323,
title = {Existence of steady multiple vortex patches to the vortex-wave system},
author = {Daomin Cao and Guodong Wang},
journal= {arXiv preprint arXiv:1805.02323},
year = {2018}
}
Comments
22 pages